Sentence examples for utilized the equation for from inspiring English sources

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We utilized the equation for sample size required per group using an unpaired t-test to compare differences between two independent means.

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If an individual's peak VO2 is not known, we recommend utilizing the equation only for people with moderate-to-severe heart or lung disease, excluding people whose 6 MWD is above 600 meters, as few of the patients we evaluated walked further than this and this value would estimate a peak VO2 of about 20 ml/kg/min.

This is illustrated by utilizing the equations to derive expressions for the electromagnetic fields generated by systems in which current pulses injected by lightning flashes are propagating.

This results in the RMS error difference between FLIPDA-S and sIPDA as shown in Fig. 7. sIPDA, which is not a fixed-lag smoothing algorithm, utilizes the RTS equation for backward track generation, so that a backward track is generated for each forward track and it survives until the last scan of the smoothing interval.

Next, for given virtual rigid displacements, another instability potential was derived for the plate utilizing the equilibrium equations for the boundary tractions at the C1 and C2 states.

For example, a number of reservoir simulators utilize this equation for reservoir modeling with viscosity and compressibility evaluated at the pressure of the upstream one between matrix and fracture when modeling dual-porosity gas systems.

The test particle scheme utilizes the same equations for the laser evolution as in the three-wave model.

Longitudinal regression analyses utilized the generalized estimating equations (GEE) model controlling for autocorrelation, day of week, outdoor fungi, and weather.

The response surface methodology (RSM) and multiple response optimization utilizing the polynomial equation were used to search for the optimal formulation with specific release rate at different time intervals and to quantify the effect of each formulation variables.

In vitro studies, the response surface methodology and multiple response optimization utilizing the polynomial equation were used to search for the optimal formulation with specific release rate at different time intervals.

The response surface methodology (RS M and multiple response optimization utilizing the polynomial equation were used to search for the optimal coating formulation with a specific release rate at different time intervals.

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